18 citations · 53 across the 8 of their papers we have counts for
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gr-qc2013★ 8 cited
Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds
James Dilts, James Isenberg, Rafe Mazzeo +1
In this note we prove two existence theorems for the Einstein constraint equations on asymptotically Euclidean manifolds. The first is for arbitrary mean curvature functions with r…
gr-qc2013★ 9 cited
Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries
M. Holst, C. Meier, G. Tsogtgerel
In this article we continue our effort to do a systematic development of the solution theory for conformal formulations of the Einstein constraint equations on compact manifolds wi…
gr-qc2013★ 2 cited
An Alternative Between Non-unique and Negative Yamabe Solutions to the Conformal Formulation of the Einstein Constraint Equations
Michael Holst, Caleb Meier
The conformal method has been effective for parametrizing solutions to the Einstein constraint equations on closed 3-manifolds. However, it is still not well-understood; for exampl…